Q3 of 805 Page 17

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Steps of construction:


(i) Draw a circle with centre O and radius 5 cm.


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(ii) Draw its chord AB.


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(iii) Draw a circle with centre A with radius more than 1/2 AB.


Similarly, Draw a circle with centre B with same radius 1/2 AB which intersect above circle at M and N respectively.


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(iv) Draw line segment MN which intersect AB at point P.


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We can see that, perpendicular bisector MN of AB passes through centre O.


More from this chapter

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1

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

 2

Draw a line segment AB of length 5.8 cm. Draw the perpendicular bisector of this line segment.

 4

Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect?

 5

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and measure its length.